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1310319400 = 235213503969
BaseRepresentation
bin100111000011001…
…1110001100101000
310101022121010022011
41032012132030220
510140420210100
6334004405304
744320350115
oct11606361450
93338533264
101310319400
116127063a5
123069a6834
1317b60c030
14c604990c
157a07cbba
hex4e19e328

1310319400 has 48 divisors (see below), whose sum is σ = 3280844700. Its totient is φ = 483809280.

The previous prime is 1310319397. The next prime is 1310319403. The reversal of 1310319400 is 49130131.

It is an interprime number because it is at equal distance from previous prime (1310319397) and next prime (1310319403).

It can be written as a sum of positive squares in 6 ways, for example, as 407797636 + 902521764 = 20194^2 + 30042^2 .

It is not an unprimeable number, because it can be changed into a prime (1310319403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 249385 + ... + 254584.

Almost surely, 21310319400 is an apocalyptic number.

1310319400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310319400 is an abundant number, since it is smaller than the sum of its proper divisors (1970525300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1310319400 is a wasteful number, since it uses less digits than its factorization.

1310319400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503998 (or 503989 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 1310319400 is about 36198.3342158172. The cubic root of 1310319400 is about 1094.2731009636.

Adding to 1310319400 its reverse (49130131), we get a palindrome (1359449531).

The spelling of 1310319400 in words is "one billion, three hundred ten million, three hundred nineteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 503969 1007938 2015876 2519845 4031752 5039690 6551597 10079380 12599225 13103194 20158760 25198450 26206388 32757985 50396900 52412776 65515970 100793800 131031940 163789925 262063880 327579850 655159700 1310319400